Random matrix theory models of electric grid topology
Abstract
The random matrix theory is useful in the study of large systems such as electric grids. These transmission systems can be modeled as complex networks, with highvoltage lines the edges that connect nodes representing power plants and substations. We draw upon established literature of complex systems theory and introduce methods from nuclear and statistical physics to identify new characteristics of these networks. We show that most grids can be characterized by the Gaussian Orthogonal Ensemble, an indicator of chaos in many complex systems. Under certain circumstances, however, grids may be described by Poisson statistics, an indicator of regularity. We use the random matrix formalism to describe the interconnection of multiple grids and construct a simple model of a distributed grid.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 December 2010
 DOI:
 10.1016/j.physa.2010.08.009
 Bibcode:
 2010PhyA..389.5838M